# Data Assimilation in Reduced Modeling

@article{Binev2017DataAI, title={Data Assimilation in Reduced Modeling}, author={P. Binev and A. Cohen and W. Dahmen and R. DeVore and G. Petrova and P. Wojtaszczyk}, journal={SIAM/ASA J. Uncertain. Quantification}, year={2017}, volume={5}, pages={1-29} }

This paper considers the problem of optimal recovery of an element u of a Hilbert spaceH from measurements of the form ‘j(u), j = 1;:::;m, where the ‘j are known linear functionals on H. Problems of this type are well studied [18] and usually are carried out under an assumption that u belongs to a prescribed model class, typically a known compact subset ofH. Motivated by reduced modeling for solving parametric partial dierential equations, this paper considers another setting where the… CONTINUE READING

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